Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 1309659746] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0014 geometric_solution 3.56746322 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -3 2 1 0 0 -1 -2 -1 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016527414128 0.518176384794 0 4 4 0 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795866808489 0.419329823245 5 3 6 0 0132 3012 0132 0132 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.343890010443 1.489341190249 2 4 0 6 1230 3012 0132 0132 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 -1 0 1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.560765801559 0.552142459738 3 1 1 6 1230 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111502202441 0.219773657687 2 5 6 5 0132 1302 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199352943542 0.073512521510 5 4 3 2 2031 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.218341353499 0.092072642919 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_1100_0'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_1, c_0101_2, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2063/480*c_1100_0^11 + 1037/40*c_1100_0^10 - 3585/32*c_1100_0^9 + 29315/96*c_1100_0^8 - 315497/480*c_1100_0^7 + 248437/240*c_1100_0^6 - 629047/480*c_1100_0^5 + 9947/8*c_1100_0^4 - 29421/32*c_1100_0^3 + 24313/48*c_1100_0^2 - 86113/480*c_1100_0 + 28159/480, c_0011_0 - 1, c_0011_2 + 3/8*c_1100_0^11 - 7/4*c_1100_0^10 + 57/8*c_1100_0^9 - 127/8*c_1100_0^8 + 251/8*c_1100_0^7 - 153/4*c_1100_0^6 + 343/8*c_1100_0^5 - 101/4*c_1100_0^4 + 129/8*c_1100_0^3 - 5/4*c_1100_0^2 + 9/8*c_1100_0 + 3/8, c_0011_3 - 1/4*c_1100_0^11 + 5/4*c_1100_0^10 - 5*c_1100_0^9 + 47/4*c_1100_0^8 - 47/2*c_1100_0^7 + 65/2*c_1100_0^6 - 159/4*c_1100_0^5 + 135/4*c_1100_0^4 - 51/2*c_1100_0^3 + 23/2*c_1100_0^2 - 17/4*c_1100_0 + 1/2, c_0101_1 - 1/8*c_1100_0^11 + c_1100_0^10 - 37/8*c_1100_0^9 + 113/8*c_1100_0^8 - 251/8*c_1100_0^7 + 207/4*c_1100_0^6 - 513/8*c_1100_0^5 + 59*c_1100_0^4 - 313/8*c_1100_0^3 + 71/4*c_1100_0^2 - 39/8*c_1100_0 + 5/8, c_0101_2 - 1/16*c_1100_0^11 + 1/4*c_1100_0^10 - 17/16*c_1100_0^9 + 33/16*c_1100_0^8 - 71/16*c_1100_0^7 + 35/8*c_1100_0^6 - 105/16*c_1100_0^5 + 7/4*c_1100_0^4 - 61/16*c_1100_0^3 - 21/8*c_1100_0^2 - 15/16*c_1100_0 - 15/16, c_0101_4 - c_1100_0, c_1100_0^12 - 5*c_1100_0^11 + 21*c_1100_0^10 - 50*c_1100_0^9 + 104*c_1100_0^8 - 141*c_1100_0^7 + 175*c_1100_0^6 - 133*c_1100_0^5 + 105*c_1100_0^4 - 35*c_1100_0^3 + 21*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB